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2252985 = 35743499
BaseRepresentation
bin1000100110000010111001
311020110111220
420212002321
51034043420
6120142253
725102320
oct10460271
94213456
102252985
1112a9779
12907989
1360b637
144290b7
152e7840
hex2260b9

2252985 has 32 divisors (see below), whose sum is σ = 4224000. Its totient is φ = 1003968.

The previous prime is 2252983. The next prime is 2253023. The reversal of 2252985 is 5892522.

It is not a de Polignac number, because 2252985 - 21 = 2252983 is a prime.

It is an Ulam number.

2252985 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4266 + ... + 4764.

It is an arithmetic number, because the mean of its divisors is an integer number (132000).

22252985 is an apocalyptic number.

It is an amenable number.

2252985 is a deficient number, since it is larger than the sum of its proper divisors (1971015).

2252985 is a wasteful number, since it uses less digits than its factorization.

2252985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557.

The product of its digits is 14400, while the sum is 33.

The square root of 2252985 is about 1500.9946702104. The cubic root of 2252985 is about 131.0949916078.

Adding to 2252985 its product of digits (14400), we get a triangular number (2267385 = T2129).

The spelling of 2252985 in words is "two million, two hundred fifty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 43 105 129 215 301 499 645 903 1497 1505 2495 3493 4515 7485 10479 17465 21457 52395 64371 107285 150199 321855 450597 750995 2252985